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Finding the Fourth Proportional to 141,886.52, 195,797.50 and 77,354.36

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Solution

The fourth proportional to 141,886.52, 195,797.50 and 77,354.36 is: 106,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,886.52 : 195,797.50 = 77,354.36 : x
  2. Step 2: Convert to fraction form
    141,886.52/195,797.50 = 77,354.36/x
  3. Step 3: Cross multiply
    141,886.52x = 195,797.50 × 77,354.36
  4. Step 4: Simplify right side
    141,886.52x = 15,145,790,302.10
  5. Step 5: Solve for x
    x = 15,145,790,302.10/141,886.52
  6. Step 6: Final answer
    x = 106,745.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.